Class 11 Exam > Class 11 Notes > UNIT CIRCLE - Class 11
UNIT CIRCLE - Class 11 PDF Download
what is unit circle
Ref: https://edurev.in/question/715848/what-is-unit-circle-Related-Circle-and-Its-Equation-Conic-Sections-Class-11-Mathematics
UNIT CIRCLE FORMULA
In mathematics, a unit circle is a circle with a radius of one. Especially in trigonometry, the unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
The unit circle is often denoted S1 : the generalization to higher dimensions is the unit sphere. The interior of the unit circle is called the open unit disk while the interior of the unit circle combined with the unit circle itself is called the closed unit disk.
The general equation of circle is given below:
Where (h, k) are center coordinates and r is the radius.
The unit circle formula is:
x^2 + y^2
Where x and y are the coordinate values.
SOLVED EXAMPLES UNIT CIRCLE FORMULA
Therefore P is on the unit circle.
FAQs on UNIT CIRCLE - Class 11
| 1. What is a unit circle? |  |
Ans. A unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. It is often used in mathematics to understand and visualize trigonometric functions.
| 2. How is the unit circle related to trigonometry? | |
Ans. The unit circle is closely related to trigonometry as it helps in understanding the values of trigonometric functions for different angles. By considering the coordinates of points on the unit circle, we can determine the sine, cosine, and tangent values for those angles.
| 3. How can the unit circle be used to find trigonometric function values? | |
Ans. To find the trigonometric function values using the unit circle, we can consider an angle in standard position on the unit circle. The x-coordinate of the point where the terminal side intersects the unit circle represents the cosine value, and the y-coordinate represents the sine value. The tangent value can be found by dividing the sine value by the cosine value.
| 4. What are the key angles on the unit circle? | |
Ans. The key angles on the unit circle are the angles that correspond to common values of trigonometric functions. These angles include 0 degrees (or 0 radians), 30 degrees (or pi/6 radians), 45 degrees (or pi/4 radians), 60 degrees (or pi/3 radians), and 90 degrees (or pi/2 radians). Memorizing the trigonometric function values for these key angles can be helpful in solving trigonometric problems.
| 5. How can the unit circle be used to solve trigonometric equations? | |
Ans. The unit circle can be used to solve trigonometric equations by converting the equations into equations involving trigonometric function values. By applying the values of sine, cosine, and tangent for different angles on the unit circle, we can determine the solutions of the equations. The unit circle provides a visual representation of the relationship between angles and trigonometric functions, making it a useful tool in solving trigonometric problems.
Related Exams
About this Document
|
4.85/5 Rating |
|
Nov 08, 2024 Last updated |
Document Description: UNIT CIRCLE - Class 11 for Class 11 2024 is part of Class 11 preparation. The notes and questions for UNIT CIRCLE - Class 11 have been prepared according to the Class 11 exam syllabus. Information about UNIT CIRCLE - Class 11 covers topics like and UNIT CIRCLE - Class 11 Example, for Class 11 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for UNIT CIRCLE - Class 11.
Description
Full syllabus notes, lecture & questions for UNIT CIRCLE - Class 11 - Class 11 | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download
Information about UNIT CIRCLE - Class 11
In this doc you can find the meaning of UNIT CIRCLE - Class 11 defined & explained in the simplest way possible.
Besides explaining types of UNIT CIRCLE - Class 11 theory,
EduRev gives you an ample number of questions to practice UNIT CIRCLE - Class 11 tests, examples and also practice Class 11 tests.
Download as PDF
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Viva Questions
,MCQs
,Free
,practice quizzes
,UNIT CIRCLE - Class 11
,Objective type Questions
,Previous Year Questions with Solutions
,Important questions
,Exam
,Semester Notes
,ppt
,video lectures
,past year papers
,Sample Paper
,Extra Questions
,shortcuts and tricks
,UNIT CIRCLE - Class 11
,study material
,Summary
,mock tests for examination
,UNIT CIRCLE - Class 11
;
Additional Information about UNIT CIRCLE - Class 11 for Class 11 Preparation
UNIT CIRCLE - Class 11 Free PDF Download
The UNIT CIRCLE - Class 11 is an invaluable resource that delves deep into the core of the Class 11 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the UNIT CIRCLE - Class 11 now and kickstart your journey towards success in the Class 11 exam.
Importance of UNIT CIRCLE - Class 11
The importance of UNIT CIRCLE - Class 11 cannot be overstated, especially for Class 11 aspirants.
This document holds the key to success in the Class 11 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
UNIT CIRCLE - Class 11 Notes
UNIT CIRCLE - Class 11 Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to UNIT CIRCLE - Class 11.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, UNIT CIRCLE - Class 11 Notes on EduRev are your ultimate resource for success.
UNIT CIRCLE - Class 11 Class 11 Questions
The "UNIT CIRCLE - Class 11 Class 11 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 11 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study UNIT CIRCLE - Class 11 on the App
Students of Class 11 can study UNIT CIRCLE - Class 11 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the UNIT CIRCLE - Class 11,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of UNIT CIRCLE - Class 11 is prepared as per the latest Class 11 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup